We have revisited the fragment-asperity interaction model recently introduced by Sotolongo-Costa and Posadas (Physical Review Letters 92, 048501, 2004) [1] by considering a different definition for mean values in the context of Tsallis nonextensive statistics and introducing a new scale between the earthquake energy and the size of fragment ǫ ∝ r 3 . The energy distribution function (EDF) deduced in our approach is considerably different from the one obtained in the above reference. We have also tested the viability of this new EDF with data from two different catalogs (in three different areas), namely, NEIC and Bulletin Seismic of the Revista Brasileira de Geofísica. Although both approaches provide very similar values for the nonextensive parameter q, other physical quantities, e.g., the energy density differs considerably, by several orders of magnitude.

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-The San Andreas fault (SAF) in the USA is one of the most investigated selforganizing systems in nature. In this paper, we studied some geophysical properties of the SAF system in order to analyze the behavior of earthquakes in the context of Tsallis's q-Triplet. To that end, we considered 134,573 earthquake events in magnitude interval 2 ≤ m < 8, taken from the Southern Earthquake Data Center (SCEDC, 1932(SCEDC, -2012. The values obtained ("qTriplet"≡{qstat,qsen,q rel }) reveal that the qstat-Gaussian behavior of the aforementioned data exhibit long-range temporal correlations. Moreover, qsen exhibits quasi-monofractal behavior with a Hurst exponent of 0.87.

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